2661120000000 has 1920 divisors, whose sum is σ = 12287593543680. Its totient is φ = 552960000000.

The previous prime is 2661119999999. The next prime is 2661120000037. The reversal of 2661120000000 is 211662.

It is a happy number.

2661120000000 is a `hidden beast` number, since 2 + 661 + 1 + 2 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241919999995 + ... + 241920000005.

It is an arithmetic number, because the mean of its divisors is an integer number (6399788304).

Almost surely, 2^{2661120000000} is an apocalyptic number.

2661120000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143796771840).

2661120000000 is an abundant number, since it is smaller than the sum of its proper divisors (9626473543680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2661120000000 is an frugal number, since it uses more digits than its factorization.

2661120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2661120000000 its reverse (211662), we get a palindrome (2661120211662).

The spelling of 2661120000000 in words is "two trillion, six hundred sixty-one billion, one hundred twenty million", and thus it is an aban number.